A person in a small boat, offshore from a vertical cliff known to be 100 feet in

glamrockqueen7

glamrockqueen7

Answered question

2021-08-15

A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. The angle of elevation is 25°, how far offshore is the boat?

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2021-08-16Added 109 answers

We know: the angle, the opposite side and the adjacent side (call it n) that we need to find:
As to the definition: tanθ= opposite leg/adjacent leg, then

tan25°=100/n

n=100/tan25°

d  214.5 ft

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